Equal Time Correlations in Haldane Gap Antiferromagnets

Abstract

The $S=1$ antiferromagnetic Heisenberg chain both with and without single ion anisotropy is studied. Using the recently proposed density matrix renormalization group technique we calculate the energy gaps as well as several different correlation functions. The two gaps, ${\Delta }_{||},{\Delta }_{\perp }$, along with associated correlation lengths and velocities are determined. The numerical results are shown to be in good agreement with theoretical predictions derived from the nonlinear sigma model and a free boson model. We also study the $S=1/2$ excitations that occur at the ends of open chains; in particular we study the behavior associated with open boundary conditions, using a model of $S=1/2$ spins coupled to the free bosons.

32 pages, uufiles encoded REVTEX 3.0, 19 postscript figures included, UBCTP-93-026

References in corpus (3)

• Large-Scale Numerical Evidence for Bose Condensation in the S=1 Antiferromagnetic Chain in a Strong Field
• Understanding Far-Infrared Absorption in the S=1 Antiferromagnetic Chain Compound NENP
• Smooth Boundary Conditions For Quantum Lattice Systems

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